Assertion : A process for which `DeltaS_(syst)` as well as `DeltaHgt0` , passes from non spontaneous to spontaneous state as temperature is increased.
Reason : At higher temperature, `TdeltaS` exceeds `DeltaH`

Options

A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
C. Assertion is true but Reason is false
D. Both Assertion and Reason are false

Answer

To solve the given question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
The assertion states that a process for which both ΔS (change in entropy) and ΔH (change in enthalpy) are greater than zero can transition from a non-spontaneous state to a spontaneous state as the temperature increases.

2. **Using the Gibbs Free Energy Equation**:
We know that the Gibbs free energy change (ΔG) is given by the equation:
\[ ΔG = ΔH - TΔS \]
For a process to be spontaneous, ΔG must be less than zero (ΔG < 0).

3. **Analyzing Non-Spontaneous to Spontaneous Transition**:
If ΔH > 0 and ΔS > 0, we can rewrite the condition for spontaneity:
\[ ΔG < 0 \implies ΔH - TΔS < 0 \implies ΔH < TΔS \]
This means that for the process to become spontaneous, the term \(TΔS\) must exceed ΔH.

4. **Effect of Temperature**:
As temperature (T) increases, the term \(TΔS\) increases. Therefore, at sufficiently high temperatures, it is possible for \(TΔS\) to exceed ΔH, leading to a negative ΔG and thus making the process spontaneous.

5. **Conclusion for Assertion**:
Since both ΔH and ΔS are positive, and as temperature increases, \(TΔS\) can exceed ΔH, the assertion is true.

6. **Understanding the Reason**:
The reason states that at higher temperatures, \(TΔS\) exceeds ΔH. This is consistent with our analysis above, as we established that for the process to become spontaneous, \(TΔS\) must be greater than ΔH.

7. **Conclusion for Reason**:
Since the reason accurately explains the assertion, it is also true.

### Final Conclusion:
Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is that both the assertion and reason are true, and the reason is the correct explanation of the assertion.